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Finding the Fourth Proportional to 259.85, 359.25 and 197.58

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Solution

The fourth proportional to 259.85, 359.25 and 197.58 is: 273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 359.25 = 197.58 : x
  2. Step 2: Convert to fraction form
    259.85/359.25 = 197.58/x
  3. Step 3: Cross multiply
    259.85x = 359.25 × 197.58
  4. Step 4: Simplify right side
    259.85x = 70,980.62
  5. Step 5: Solve for x
    x = 70,980.62/259.85
  6. Step 6: Final answer
    x = 273.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.